## Elementary geometry |

### Inni boken

Resultat 1-5 av 74

Side 8

A

, and is such that all straight lines drawn from a certain point within the figure to

the circumference are equal to one another . This point is called the centre of the

...

A

**circle**is a plane figure contained by one line , which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to

the circumference are equal to one another . This point is called the centre of the

...

Side 61

With centre A , and any radius greater than half AC , describe a

centre C , and the same radius , describe another

the ...

With centre A , and any radius greater than half AC , describe a

**circle**, and withcentre C , and the same radius , describe another

**circle**intersecting the former**circle**on the side of AC remote from B in D . Join AD , CD , and BD ; BD bisectsthe ...

Side 62

With centre C and any radius describe a

D , E , so that CD = CE . With centre D , and any radius ADO B greater than DC ,

describe a

With centre C and any radius describe a

**circle**to cut the straight line in two pointsD , E , so that CD = CE . With centre D , and any radius ADO B greater than DC ,

describe a

**circle**, and with centre E and the same radius describe a**circle**... Side 63

With centre À describe a

, E . BD Bisect the angle DAE by the line AF . ( Prob . 1 . ) Then AF shall be

perpendicular to BC . Proof . In the triangles AFD , AFE , because AD = AE , (

Constr . ) ...

With centre À describe a

**circle**with any sufficient radius to cut BC in two points D, E . BD Bisect the angle DAE by the line AF . ( Prob . 1 . ) Then AF shall be

perpendicular to BC . Proof . In the triangles AFD , AFE , because AD = AE , (

Constr . ) ...

Side 64

Draw a line PQ equal to one of them A . With centre Pand radius equal to B

describe a

these

Draw a line PQ equal to one of them A . With centre Pand radius equal to B

describe a

**circle**; and with centre Q and radius equal to C describe a**circle**. Letthese

**circles**intersect in R . Join RP , RQ . RPQ is the triangle required , Proof .### Hva folk mener - Skriv en omtale

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### Vanlige uttrykk og setninger

ABCD adjacent angle ABC angle APB angle BAC base bisect bisector Book called centre chord circle circumference coincide College common Constr construct converse Crown 8vo diagonals diameter difference distance divided double draw drawn Edition ELEMENTARY equal angles Euclid Examples exterior angle extremities fall figure Find follows four Geometry given angle given line given point given straight line greater half Hence Illustrations inscribed interior intersect isosceles triangle Join length less Let ABC line drawn locus magnitudes measure meet middle point minor arc opposite sides parallel parallelogram pass perpendicular placed polygon PROBLEM produced Professor Proof proportional quadrilateral radius ratio rectangle contained rectilineal figure regular required to prove respectively right angles School segment Shew sides similar Similarly square supplementary tangent THEOREM third touch triangle ABC unequal

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